Question

So sánh : 

3²⁰ ............................... 2³⁰

Answer 1

Ta có :

\(3^{20}=3^{2\cdot10}=\left(3^2\right)^{10}=9^{10}\)

\(2^{30}=2^{3\cdot10}=\left(2^3\right)^{10}=8^{10}\)

Vì \(9^{10}>8^{10}\)

Nên \(3^{20}>2^{30}\)

Answer 2

3²⁰=(3²)¹⁰=9¹⁰

2³⁰⁼(2³)¹⁰=8¹⁰

vi  8 < 9

nên 8¹⁰<9¹⁰

vậy 3²⁰<2³⁰